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If the sum of the lengths of the hypoten...

If the sum of the lengths of the hypotenuse and another side of a right angled triangle is given , show that the area of the triangle is maximum , when the angle between these sides is `60^(@)`.

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CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Long Answer Type Questions
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  3. A box with square top and bottom is to be made to contain 250 cm^(3) M...

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  9. An open box with a square base is to be made out of a given quantity o...

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  10. A wire of length 28 m is to be cut into two pieces . One of the pieces...

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  11. A closed right circular cylinder has volume 2156cm^(3) . What will be...

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  12. Show that the height of the cone of maximum volume that can be inscrib...

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  13. Show that the surface area of a closed cuboid with square base and giv...

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  14. Manufacturer can sell x items at a price of Rs. (5-(x)/(100)) each . T...

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  15. Show that the maximum volume of the cylinder which can be inscribed in...

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  16. An open box is to be made out of a piece of cardboard measuring (24cmx...

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  18. The three sides of a trapezium are each of length 8 cm . Find the maxi...

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  19. A straight line passing through the point (a,b) [where agt0and bgt0] ...

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  20. Find the coordinates of the point on the curve y=(x)/(1+x^(2)) where ...

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